Flow and heat transfer in a power-law fluid over a stretching sheet with variable thermal conductivity and non-uniform heat source |
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| Authors: | M. Subhas Abel P.S. Datti N. Mahesha |
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| Affiliation: | 1. Department of Studies and Research in Mathematics, Kuvempu University, Shankaraghatta-577 451, Shimoga, Karnataka, India;2. Department of Mathematics, Christ University, Bangalore 560058, India;1. Department of Studies and Research in Mathematics, Kuvempu University, Shankaraghatta, Shimoga, Karnataka 577 451, India;2. Government First Grade College, Koppa, Chikkamagaluru, Karnataka 577126, India;3. Department of Mechanical Engineering, Cleveland State University, Cleveland, Ohio 44115, USA;1. Department of Computer Science, Bahria University, Islamabad Campus, Islamabad 44000, Pakistan;2. Department of Mathematics, Riphah International University, Islamabad 44000, Pakistan;3. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;4. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia;5. Department of Mechanical Engineering, Sejong University, Seoul 143-747, Korea |
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| Abstract: | In this paper the flow of a power-law fluid due to a linearly stretching sheet and heat transfer characteristics using variable thermal conductivity is studied in the presence of a non-uniform heat source/sink. The thermal conductivity is assumed to vary as a linear function of temperature. The similarity transformation is used to convert the governing partial differential equations of flow and heat transfer into a set of non-linear ordinary differential equations. The Keller box method is used to find the solution of the boundary value problem. The effect of power-law index, Chandrasekhar number, Prandtl number, non-uniform heat source/sink parameters and variable thermal conductivity parameter on the dynamics is analyzed. The skin friction and heat transfer coefficients are tabulated for a range of values of said parameters. |
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